One-time nurse makes offer (6)
I believe the answer is:
extend
'offer' is the definition.
(I know that offer can be written as extend)
'one-time nurse' is the wordplay.
'one-time' becomes 'ex' (prefix meaning former or onetime).
'nurse' becomes 'tend' (I've seen this in another clue).
'ex'+'tend'='EXTEND'
'makes' is the link.
(Other definitions for extend that I've seen before include "Draw out" , "Spread - offer" , "make offer?" , "Straighten out" , "Reach out or stretch" .)