Become more involved in refurbishment of kitchen (7)
I believe the answer is:
thicken
'become more involved' is the definition.
(e.g. a plot)
'refurbishment of kitchen' is the wordplay.
'refurbishment of' indicates an anagram.
'kitchen' with letters rearranged gives 'THICKEN'.
'in' is the link.
(Other definitions for thicken that I've seen before include "Clot" , "Make more viscous" , "Become more involved" , "Make less flowing" , "Become more dense (as plots do)" .)