Carry on with former nurse (6)
I believe the answer is:
extend
'carry on' is the definition.
(I've seen this before)
'with former nurse' is the wordplay.
'with' says to put letters next to each other.
'former' becomes 'ex'.
'nurse' becomes 'tend' (I've seen this before).
'ex' next to 'tend' is 'EXTEND'.
(Other definitions for extend that I've seen before include "Enlarge, widen" , "Stretch out, say the hand of friendship" , "Draw out" , "make offer?" , "Straighten out" .)