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 sure about the 'lively' bit.

'time in twist with hero' is the wordplay.
I cannot quite understand how this works, but
'time' could be 't' (abbreviation) and 't' is located in the answer.
'twist' could be 'coil' (to coil is to twist or wind round) and 'coil' is present in the remaining letters.
'hero' could be 'lion' (lion can mean a brave person) and 'lion' is found within the answer.
This accounts for all the letters.
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?