Some pieces in fantastic kit outlived them and continue to persist (5,2,3)
I believe the answer is:
stick it out
'to persist' is the definition.
(I've seen this before)
'some pieces in fantastic kit outlived' is the wordplay.
'some pieces' indicates the answer is hidden within the clue (I've seen 'piece' mean this).
'STICK IT OUT' is hidden in the letters of 'in fantastic kit outlived'.
'them and continue' acts as a link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for stick it out that I've seen before include "Persist" , "Persevere to the end" , "Don't give up" .)