Henry leaves Frank a record for dance (3-4)
I believe the answer is:
one-step
'dance' is the definition.
(one-step is a kind of dance)
'henry leaves frank a record' is the subsidiary indication.
'henry' becomes 'h' ('H' can be a synonym of 'henry').
'leaves' suggests deleting specific letters.
'frank' becomes 'honest' ('honest' can be similar in meaning to 'frank').
'a record' becomes 'ep'.
'honest' with 'h' taken away is 'onest'.
'onest'+'ep'='onestep'
'for' is the link.
(Other definitions for one-step that I've seen before include "(Very short?) ballroom dance" , "Vigorous dance" , "Foxtrot's precursor" , "Style of foxtrot" , "Kind of foxtrot" .)