Remain doggo and don't reveal the truth yet (3,5)

I believe the answer is:

lie still

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'remain' is the definition.
(thesaurus)

'truth yet' is the wordplay.
'truth' becomes 'lie' (I can't explain this - if you can you should believe this answer much more).
'yet' becomes 'still' (synonyms).
'lie'+'still'='LIE STILL'

'doggo and don't reveal the' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.

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