Swimmer's eccentric aunt (4)
I believe the answer is:
tuna
'swimmer's' is the definition.
(tuna is a type of fish)
'eccentric aunt' is the wordplay.
'eccentric' indicates an anagram.
'aunt' anagrammed gives 'TUNA'.
(Other definitions for tuna that I've seen before include "Large salt water fish" , "Large food fish" , "Large sea-fish" , "Species of fish" , "Large fish for the strange aunt" .)