Solution for 20 June cryptic crossword clue

Deceitfully appease fellow, old boy on holiday (3,3)

Solution – Fob off

If someone deceitfully appeases you, you could say they fobbed you off.  So that matches the solution.  The setter is being a bit "deceitful" here themselves since that word in a clue would often indicate an anagram.

The rest of the clue is like a charade making up the words "fob off".

First you have "fellow" which is represented by the abbreviation "f".

Then "old boy" is another abbreviation "ob"

And if you are "off" you could be going on holiday, as in being "off work" or "having the day off".

F + ob + off = fob off

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