You could fill the dependend cell (D2) by a User Defined Function (VBA Macro Function) that takes the value of the C2-Cell as input parameter, returning the current date as ouput.
Having C2 as input parameter for the UDF in D2 tells Excel that it needs to reevaluate D2 everytime C2 changes (that is if auto-calculation of formulas is turned on for the workbook).
EDIT:
Here is some code:
For the UDF:
Public Function UDF_Date(ByVal data) As Date
UDF_Date = Now()
End Function
As Formula in D2:
=UDF_Date(C2)
You will have to give the D2-Cell a Date-Time Format, or it will show a numeric representation of the date-value.
And you can expand the formula over the desired range by draging it if you keep the C2 reference in the D2-formula relative.
Note: This still might not be the ideal solution because every time Excel recalculates the workbook the date in D2 will be reset to the current value. To make D2 only reflect the last time C2 was changed there would have to be some kind of tracking of the past value(s) of C2. This could for example be implemented in the UDF by providing also the address alonside the value of the input parameter, storing the input parameters in a hidden sheet, and comparing them with the previous values everytime the UDF gets called.
Addendum:
Here is a sample implementation of an UDF that tracks the changes of the cell values and returns the date-time when the last changes was detected. When using it, please be aware that:
The usage of the UDF is the same as described above.
The UDF works only for single cell input ranges.
The cell values are tracked by storing the last value of cell and the date-time when the change was detected in the document properties of the workbook. If the formula is used over large datasets the size of the file might increase considerably as for every cell that is tracked by the formula the storage requirements increase (last value of cell + date of last change.) Also, maybe Excel is not capable of handling very large amounts of document properties and the code might brake at a certain point.
If the name of a worksheet is changed all the tracking information of the therein contained cells is lost.
The code might brake for cell-values for which conversion to string is non-deterministic.
The code below is not tested and should be regarded only as proof of concept. Use it at your own risk.
Public Function UDF_Date(ByVal inData As Range) As Date
Dim wb As Workbook
Dim dProps As DocumentProperties
Dim pValue As DocumentProperty
Dim pDate As DocumentProperty
Dim sName As String
Dim sNameDate As String
Dim bDate As Boolean
Dim bValue As Boolean
Dim bChanged As Boolean
bDate = True
bValue = True
bChanged = False
Dim sVal As String
Dim dDate As Date
sName = inData.Address & "_" & inData.Worksheet.Name
sNameDate = sName & "_dat"
sVal = CStr(inData.Value)
dDate = Now()
Set wb = inData.Worksheet.Parent
Set dProps = wb.CustomDocumentProperties
On Error Resume Next
Set pValue = dProps.Item(sName)
If Err.Number <> 0 Then
bValue = False
Err.Clear
End If
On Error GoTo 0
If Not bValue Then
bChanged = True
Set pValue = dProps.Add(sName, False, msoPropertyTypeString, sVal)
Else
bChanged = pValue.Value <> sVal
If bChanged Then
pValue.Value = sVal
End If
End If
On Error Resume Next
Set pDate = dProps.Item(sNameDate)
If Err.Number <> 0 Then
bDate = False
Err.Clear
End If
On Error GoTo 0
If Not bDate Then
Set pDate = dProps.Add(sNameDate, False, msoPropertyTypeDate, dDate)
End If
If bChanged Then
pDate.Value = dDate
Else
dDate = pDate.Value
End If
UDF_Date = dDate
End Function
Make the insertion of the date conditional upon the range.
This has an advantage of not changing the dates unless the content of the cell is changed, and it is in the range C2:C2, even if the sheet is closed and saved, it doesn't recalculate unless the adjacent cell changes.
Adapted from this tip and @Paul S answer
Private Sub Worksheet_Change(ByVal Target As Range)
Dim R1 As Range
Dim R2 As Range
Dim InRange As Boolean
Set R1 = Range(Target.Address)
Set R2 = Range("C2:C20")
Set InterSectRange = Application.Intersect(R1, R2)
InRange = Not InterSectRange Is Nothing
Set InterSectRange = Nothing
If InRange = True Then
R1.Offset(0, 1).Value = Now()
End If
Set R1 = Nothing
Set R2 = Nothing
End Sub