Chicken and duck in new resort (7)
I believe the answer is:
rooster
'chicken' is the definition.
(rooster is a kind of chicken)
'duck in new resort' is the wordplay.
'duck' becomes 'o' (resembles zero - 'duck' in cricket).
'in' indicates putting letters inside.
'new' is an anagram indicator.
'resort' with letters rearranged gives 'roster'.
'o' put within 'roster' is 'ROOSTER'.
'and' is the link.
(Other definitions for rooster that I've seen before include "Domestic cock" , "American cockerel" , "Male domestic fowl (US)" , "Early-morning caller" , "Farmyard bird" .)