Not at home to adapt the equipment (6)
I believe the answer is:
outfit
'equipment' is the definition.
(I know that outfit is a type of cogwheel)
'not at home to adapt' is the wordplay.
'not at home' becomes 'out' (out can mean away from home).
'to adapt' becomes 'fit' (fitting is a kind of adapting).
'out'+'fit'='OUTFIT'
'the' is the link.
(Other definitions for outfit that I've seen before include "Garb - equipment" , "Set of matching clothes" , "Equip for an enterprise" , "gear" , "Ensemble of clothes" .)