Infirm with age, Duke, more eccentric, discovered bingo (9)

I believe the answer is:

doddering

I'm a little stuck... Click here to teach me more about this clue!

'infirm' is the definition.
(thesaurus)

'duke more eccentric discovered bingo' is the wordplay.
'duke' becomes 'd' (abbreviation).
'more eccentric' becomes 'odder' (I've seen this in another clue).
'discovered' says to take the centre (dis-covered - outer letters removed).
The centre of 'bingo' is 'ing'.
'd'+'odder'+'ing'='DODDERING'

'with age' acts as a link.
This may not be right. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for doddering that I've seen before include "shaking" , "Staggering" , "Feeble" .)

I've seen this clue in The Independent.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.