Pack, heading for another place in Florida (5)
I believe the answer is:
tampa
'place in florida' is the definition.
(I know this)
'pack heading for another' is the wordplay.
'pack' becomes 'tamp' (synonyms).
'heading for' suggests taking the first letters.
The first letter of 'another' is 'a'.
'tamp'+'a'='TAMPA'
(Other definitions for tampa that I've seen before include "American resort" , "Port of western Florida" , "American city" , "US town" , "City in Florida" .)