Lively dance giving you time in twist with hero (9)

'lively dance' is the definition.
'cotillion' can be an answer for 'dance' (cotillion is a kind of dance). I am not certain of the 'lively' bit.

'time in twist with hero' is the wordplay.
I cannot quite see how this works, but
'time' could be 't' (abbreviation) and 't' is present in the answer.
'twist' could be 'coil' (to coil is to twist or wind round) and 'coil' is present in the leftover letters.
'hero' could be 'lion' (lion can mean a brave person) and 'lion' is found in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

'giving you' is the link.

Can you help me to learn more?