The most common and most likely answer to this crossword clue is the 3 plus 4 plus 4 plus 2 letter word PUT ONES FEET UP
I've seen this crossword clue in The Times
P
U
T
O
N
E
S
F
E
E
T
U
P
Buddy explains!

The straight part
We know that "rest" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case rest = put ones feet up.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.