Upwardly mobile girl stepping out, bound to sleep around (3-3)

I believe the answer is:

bed-hop

'sleep around' is the definition.

'upwardly mobile girl stepping out bound' is the subsidiary indication.
'upwardly mobile' says the letters should be written backwards.
'girl stepping out' becomes 'deb' (short for debutante).
'bound' becomes 'hop' (I've seen this in other clues).
'deb' in reverse letter order is 'bed'.
'bed'+'hop'='bedhop'

'to' is the link.

I've seen this clue in The Guardian.

Want a hint initially instead of a full solution? Install my app