Impact after bombing old Mexican port (7)

I believe the answer is:

tampico

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

'port' is the definition.
(I know that Tampico is a port)

'impact after bombing old' is the wordplay.
'after bombing' indicates an anagram.
'old' becomes 'o' (abbreviation).
'impact' is an anagram of 'tampic'.
'tampic'+'o'='TAMPICO'

'mexican' acts as a link.
I am not very happy about this link. It may be part of another bit of the clue.

Can you help me to learn more?

I've seen this clue in The Times and The Sunday Times.

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