Be inclined to conceal distress in the last part (4,3)
I believe the answer is:
tail end
'the last part' is the definition.
(I've seen this in another clue)
'be inclined to conceal distress' is the wordplay.
'be inclined' becomes 'tend' (synonyms).
'to conceal' means one lot of letters goes inside another.
'distress' becomes 'ail' (ail can mean to trouble or distress).
'tend' placed around 'ail' is 'TAIL-END'.
'in' is the link.
(Other definitions for tail end that I've seen before include "Hindmost part" , "Last batsmen" , "Final part" , "Posterior" , "Last throes" .)