Offer old lover ten dollars initially (6)
I believe the answer is:
extend
'offer' is the definition.
(synonyms)
'old lover ten dollars initially' is the wordplay.
'old lover' becomes 'ex' (an ex-lover).
'initially' indicates taking the first letters.
The initial letter of 'dollars' is 'd'.
'ex'+'ten'+'d'='EXTEND'
(Other definitions for extend that I've seen before include "Hold out or stretch out" , "make offer?" , "Straighten out" , "Provide challenge" , "Stretch out, say the hand of friendship" .)