Try exotic eats, on finishing breakfast (5)
I believe the answer is:
taste
'try' is the definition.
(I know that try can be written as taste)
'exotic eats on finishing breakfast' is the wordplay.
'exotic' indicates an anagram (an unusual form of the letters).
'on' indicates putting letters inside (as in clothing 'on' a person).
'finishing' indicates one should take the final letters (the letter which finishes the word).
The last letter of 'breakfast' is 't'.
'eats' with letters rearranged gives 'tase'.
'tase' placed around 't' is 'TASTE'.
(Other definitions for taste that I've seen before include "Judgment" , "Appreciation, discernment" , "Predilection" , "Savour, relish" , "Test for flavour" .)