Haul around in a dance (4)
I believe the answer is:
hula
'dance' is the definition.
(hula is a kind of dance)
'haul around' is the wordplay.
'around' is an anagram indicator.
'haul' with letters rearranged gives 'HULA'.
'in a' acts as a link.
(Other definitions for hula that I've seen before include "Hoop spun around the body" , "Hawaiian dance - kind of hoop" , "Hawaiian rain dance" , "Hip-swaying dance of Hawaii" .)