Race programme table is flimsy (9)
I believe the answer is:
cardboard
'flimsy' is the definition.
(synonyms)
'race programme table' is the wordplay.
'race programme' becomes 'card' (I can't justify this - if you can you should give a lot more credence to this answer).
'table' becomes 'board' (board is a kind of table).
'card'+'board'='CARDBOARD'
'is' acts as a link.
Can you help me to learn more?
(Other definitions for cardboard that I've seen before include "A stiff thick paper" , "without substance" , "stiff material" .)