Bear not starting to move around (4)
I believe the answer is:
eddy
'to move around' is the definition.
(to eddy is move in circles)
'bear not starting' is the wordplay.
'bear' becomes 'teddy' (teddy bear is a stuffed toy).
'not starting' means to remove the first letter.
'teddy' with its first letter removed is 'EDDY'.
(Other definitions for eddy that I've seen before include "Swirling current" , "Twist" , "Man" , "Spin" , "Whirlwind" .)