New type of feline follows sappers.... Give up? (8)
I believe the answer is:
renounce
'give up?' is the definition.
('renounce' can be a synonym of 'give up')
'new type of feline follows sappers' is the wordplay.
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'type of feline' becomes 'ounce' ().
'follows' means one lot of letters go next to another.
'sappers' becomes 're' (Royal Engineers).
'n'+'ounce'='nounce'
'nounce' put after 're' is 'RENOUNCE'.
(Other definitions for renounce that I've seen before include "Decide to forgo" , "Disclaim or reject publicly" , "Give up, abdicate" , "Foreswear, relinquish" , "Abdicate or disown" .)