Team from what we hear sounded weary (4)
I believe the answer is:
side
'team' is the definition.
(both can mean a sports team)
'from what we hear sounded weary' is the wordplay.
'from what we hear' indicates a 'sounds like' (homophone) clue.
'sounded weary' becomes 'sighed' (I've seen this before).
'sighed' sounds like 'SIDE'.
(Other definitions for side that I've seen before include "Affectation" , "Dies for own team" , "Team - arrogance" , "Lateral team" , "perspective" .)