'Tyger' with a new spin (6)
I believe the answer is:
gyrate
'spin' is the definition.
('gyrate' can be a synonym of 'spin')
'tyger with a new' is the wordplay.
'with' is a charade indicator (letters next to each other).
'new' is an anagram indicator.
'tyger' after 'a' is 'atyger'.
'atyger' with letters rearranged gives 'GYRATE'.
(Other definitions for gyrate that I've seen before include "Move quickly in a spiral" , "Revolve quickly and repeatedly around one's own axis" , "Move in a circle or spiral" , "Twirl" , "Move rapidly in a circle" .)