A great new place to study and somewhere to eat

I believe the answer is:

tea garden

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

'study and somewhere to eat' is the definition.
I can't tell whether this defines the answer.

'a great new place' is the wordplay.
'new' indicates an anagram.
'place' becomes 'den' (den is a kind of place**).
'a'+'great'='agreat'
'agreat' is an anagram of 'teagar'.
'teagar'+'den'='TEA-GARDEN'

'to' is the link.

Can you help me to learn more?

(Other definitions for tea garden that I've seen before include "Kind of plantation" , "eat alfresco here" , "drinks here?" , "outdoor restaurant" , "trombonist" .)

I've seen this clue in The Telegraph.

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.