Founder of a little business in Kent (4)
I believe the answer is:
sink
'founder' is the definition.
(sinking is a kind of foundering)
'a little business in kent' is the wordplay.
'a little' indicates the answer is hidden within the clue (a little bit of the clue).
'SINK' is hidden within 'business in kent'.
'of' is the link.
(Other definitions for sink that I've seen before include "Drop N flag" , "Basin for washing up etc" , "Submerge; basin" , "Plumbing fixture" , "Plunge down" .)