Suggests it's hot in the outskirts of Tunis (5)
I believe the answer is:
hints
'suggests' is the definition.
('hint' can be a synonym of 'suggest')
'hot in the outskirts of tunis' is the wordplay.
'hot' becomes 'h'.
'the outskirts of' means to remove the middle letters.
'tunis' with its middle removed is 'ts'.
'h'+'in'+'ts'='HINTS'
'it's' is the link.
(Other definitions for hints that I've seen before include "Tips" , "Slight indications" , "Suggestions" .)