Feeling the heat, put ‘vase’ into search engine … (7)

I believe the answer is:

burning

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'feeling the heat' is the definition.
'burning' can be an answer for 'feeling' (burning is a kind of feeling). I am not certain of the 'the heat' bit.

'vase into search engine' is the wordplay.
'vase' becomes 'urn' (both can mean a container).
'into' indicates putting letters inside.
'search engine' becomes 'Bing' (Bing is a search engine).
'urn' placed into 'bing' is 'BURNING'.

'put' is the link.

Can you help me to learn more?

(Other definitions for burning that I've seen before include "Passionate" , "Of urgent interest; flaming" .)

I've seen this clue in The Independent.

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