Caught a Geordie producing stick (4)
I believe the answer is:
cane
'stick' is the definition.
(I know that cane is a type of walking stick)
'caught a geordie' is the wordplay.
'caught' becomes 'c' (cricket abbreviation).
'geordie' becomes 'NE' (Geordies are from Tyneside in the North East).
'c'+'a'+'ne'='CANE'
'producing' acts as a link.
(Other definitions for cane that I've seen before include "e.g. Bamboo stem" , "Type of sugar; beat" , "Strong stem for to allow a plant to climb" , "Stick; thrash" , "African country formerly called Gold Coast" .)