Visiting Cambridge later, I assume summer tourists would go there (9)

'summer tourists would go there' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'visiting cambridge later i assume' is the wordplay.
'visiting' indicates a hidden word (the answer 'visits' the inside of the clue).
'GELATERIA' is hidden in the letters of 'cambridge later i assume'.

Can you help me to learn more?