Jersey, say, dressing hot dog (4)
I believe the answer is:
chow
'dog' is the definition.
(chow is a kind of dog)
'jersey say dressing hot' is the wordplay.
'jersey say' becomes 'cow' (Jersey cow is an example).
'dressing' indicates putting letters inside (inserted letters are dressed or clad in others).
'hot' becomes 'h' (abbreviation eg on taps).
'cow' going around 'h' is 'CHOW'.
(Other definitions for chow that I've seen before include "Dog (from China?)" , "Grub" , "Long-haired dog of Chinese breed, or informal food" , "Long-haired Chinese dog or slangy food" , "breakfast?" .)