Throw a six and pivot (4)
I believe the answer is:
axis
'pivot' is the definition.
(thesaurus)
'throw a six' is the wordplay.
'throw' indicates an anagram.
'a'+'six'='asix'
'asix' with letters rearranged gives 'AXIS'.
'and' acts as a link.
(Other definitions for axis that I've seen before include "Imaginary line through the centre of an object on which it spins" , "Spotted deer" , "Imaginary line about which a body rotates and a Dublin theatre" , "Central point of a rotation" , "Pivot, political alliance" .)