The following is a proposed solution for the OP's specific problem (extracting the 2nd word of a string), but it should be noted that, as mc0e's answer states, actually extracting regex matches is not supported out-of-the-box in MySQL. If you really need this, then your choices are basically to 1) do it in post-processing on the client, or 2) install a MySQL extension to support it.
BenWells has it very almost correct. Working from his code, here's a slightly adjusted version:
SUBSTRING(
sentence,
LOCATE(' ', sentence) + CHAR_LENGTH(' '),
LOCATE(' ', sentence,
( LOCATE(' ', sentence) + 1 ) - ( LOCATE(' ', sentence) + CHAR_LENGTH(' ') )
)
As a working example, I used:
SELECT SUBSTRING(
sentence,
LOCATE(' ', sentence) + CHAR_LENGTH(' '),
LOCATE(' ', sentence,
( LOCATE(' ', sentence) + 1 ) - ( LOCATE(' ', sentence) + CHAR_LENGTH(' ') )
) as string
FROM (SELECT 'THIS IS A TEST' AS sentence) temp
This successfully extracts the word IS