Needing support (like one of the morning glory family?) (7)
I believe the answer is:
doddery
I believe this clue is a double definition.
'needing support' is the first definition.
(unsteady on one's feet)
'like one of the morning glory family?' is the second definition.
(like the dodder plant of the morning glory family)
(Other definitions for doddery that I've seen before include "Shaky" , "Rather senile" , "Infirm with age" , "Old and feeble" , "Unsteady in movement" .)