The most common and most likely answer to this crossword clue is the 6 letter word GROPED
I've seen this crossword clue in The Daily Telegraph
G
R
O
P
E
D
More clues leading to the result GROPED
Buddy explains!

The straight part
We know that "Felt" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case felt = groped.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.
What does GROPED mean?
GROPED verb- To feel with or use the hands; to handle.
- To search or attempt to find something in the dark, or, as a blind person, by feeling; to move about hesitatingly, as in darkness or obscurity; to feel one's way, as with the hands, when one can not see.
- To touch (another person) closely and (especially) sexually.
- To intentionally and inappropriately touch another person, in such a manner as to make the contact appear accidental, for the purpose of one's sexual gratification.
- To examine; to test; to sound.