Doctor's boring item in slow speech (5)
I believe the answer is:
drawl
'slow speech' is the definition.
(drawl means a slow or lazy style of speech)
'doctor's boring item' is the wordplay.
'doctor' becomes 'dr' (abbreviation).
'boring item' becomes 'awl' (tool for boring holes).
'dr'+'awl'='DRAWL'
'in' is the link.
(Other definitions for drawl that I've seen before include "Speak lazily with long vowel sounds" , "Jimmy Stewart spoke with one" , "Speak slowly and affectedly" , "Speak in slow tone" , "Speak languidly" .)