Staggered and looking embarrassed about fish (6)
I believe the answer is:
reeled
'staggered' is the definition.
('reel' can be a synonym of 'stagger')
'looking embarrassed about fish' is the wordplay.
'looking embarrassed' becomes 'red' (someone may go red when embarrassed).
'about' means one lot of letters goes inside another.
'fish' becomes 'eel' (eel is a kind of fish).
'red' enclosing 'eel' is 'REELED'.
'and' is the link.
(Other definitions for reeled that I've seen before include "Staggered in a dance perhaps" , "Danced; staggered" , "'Staggered, spun around (6)'" , "Staggered around as if drunk" , "Staggered (at a Highland ball?)" .)