Cast for a lively dance (5)
I believe the answer is:
fling
This clue might be a double definition.
'cast' is the first definition.
(both can mean to throw)
'lively dance' is the second definition.
'fling' can be an answer for 'dance' (I've seen this before). I am not sure about the 'lively' bit.
'for a' is the link.
Can you help me to learn more?
(Other definitions for fling that I've seen before include "Throw as in Highland dance?" , "Try" , "Spell of indulgence" , "Throw, cast" , "Throw; Scottish dance" .)