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Deposit related to excess fare that's required by motorist (5,4)

Ross

I believe the answer is:

spare tyre

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

'required by motorist' is the definition.
The definition suggests a singular noun which matches the answer.

'deposit related to excess fare' is the wordplay.
I cannot really understand how this works, but
'excess' could be 'spare' (synonyms) and 'spare' is found in the answer.
'fare' could be 'e' (E is an example) and 'e' is located in the answer.
The remaining letters 'tyr' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

'that's' is the link.

Can you help me to learn more?

(Other definitions for spare tyre that I've seen before include "Love handles" , "It's carried in case of a blow-out" , "One ought to go on the wagon, just in case" , "evidence of overindulgence" , "Roll of fat around the tummy" .)

I've seen this clue in The Times.
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