Eke out during the time in captivity (7)
I believe the answer is:
stretch
'time in captivity' is the definition.
'stretch' can be an answer for 'time' (I've seen this before). I'm not sure about the 'in captivity' bit.
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for stretch that I've seen before include "Extend, elongate" , "that one may do to a point" , "Extend, time spent in prison" , "time spent in jail" , "Make (something) longer" .)