Put up with a tender point (5)
I believe the answer is:
abide
'put up with' is the definition.
(synonyms)
'a tender point' is the wordplay.
'tender' becomes 'bid' (synonyms).
'point' becomes 'E' (compass point).
'a'+'bid'+'e'='ABIDE'
(Other definitions for abide that I've seen before include "Stomach" , "Tolerate - dwell" , "'. . . . . with me, fast falls the eventide'" , "Tolerate; live" , "Stay or endure" .)