Under a bridge, the wrong road home? (8)

I believe the answer is:

headroom

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

'under a bridge' is the definition.
I can't tell whether this defines the answer.

'wrong road home?' is the wordplay.
'wrong' is an anagram indicator.
'road'+'home'='roadhome'
'roadhome' is an anagram of 'HEADROOM'.

'the' acts as a link.

Can you help me to learn more?

(Other definitions for headroom that I've seen before include "vertical space" , "Space available above" , "enough space" , "Clearance below a bridge or ceiling" , "Clearance vertically" .)

I've seen this clue in the Evening Standard.

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