Since glibc version 2.17, the library linking -lrt is no longer required.
The clock_* are now part of the main C library. You can see the change history of glibc 2.17 where this change was done explains the reason for this change:
+* The `clock_*' suite of functions (declared in <time.h>) is now available
+ directly in the main C library. Previously it was necessary to link with
+ -lrt to use these functions. This change has the effect that a
+ single-threaded program that uses a function such as `clock_gettime' (and
+ is not linked with -lrt) will no longer implicitly load the pthreads
+ library at runtime and so will not suffer the overheads associated with
+ multi-thread support in other code such as the C++ runtime library.
If you decide to upgrade glibc, then you can check the compatibility tracker of glibc if you are concerned whether there would be any issues using the newer glibc.
To check the glibc version installed on the system, run the command:
ldd --version
(Of course, if you are using old glibc (<2.17) then you will still need -lrt.)