Remove some fibrous tissue (4)
I believe the answer is:
oust
'remove' is the definition.
(I know this)
'some fibrous tissue' is the wordplay.
'some' says the answer is hidden in the clue (some of the parts of the word are used).
'OUST' is hidden within 'fibrous tissue'.
(Other definitions for oust that I've seen before include "Drive out, eject from office" , "Extract" , "Remove and replace" , "Evict" , "Throw out" .)