Kind nurse dressing Henry's cut (7)
I believe the answer is:
shorten
'cut' is the definition.
(I know that cut can be written as shorten)
'kind nurse dressing henry's' is the wordplay.
'kind' becomes 'sort' (synonyms).
'nurse' becomes 'en' (abbreviation for enrolled nurse).
'dressing' is an insertion indicator (inserted letters are dressed or clad in others).
'henry' becomes 'H' (symbol for the unit of electrical inductance).
'sort'+'en'='sorten'
'sorten' enclosing 'h' is 'SHORTEN'.
(Other definitions for shorten that I've seen before include "Put extra fat" , "Prune" , "Reduce in length" , "Abbreviate" , "contract" .)