The most common and most likely answer to this crossword clue is the 4 letter word VIBE
I've seen this crossword clue in The Daily Telegraph
V
I
B
E
Buddy explains!

The straight part
We know that "feeling" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case feeling = vibe.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 VIBE mean?
VIBE noun- A vibraphone.
- Vibration.
- A vibrator (sex toy).
- (originally New Age jargon) An atmosphere or aura felt to belong to a person, place or thing.
- To stimulate with a vibrator.
- To relax and enjoy oneself.
- To agree.
- To get along; to hit it off.