The most common and most likely answer to this crossword clue is the 3 letter word ART
I've seen this crossword clue in The Times
A
R
T
More clues leading to the result ART
- Lovely piece of work, are you?
- Ancient king drops charioteer’s gift
- Bacon pieces, for example, in quiche with no topping
- What's right in heart of Tate
- Cunning regularly displayed by parrots
- Works informer shifting Republican to the centre
- Cunning schemes Friar Tuck conceals
- Small boy is cunning
- Old king drops charioteer's gift
- Drawing most of snare back
Buddy explains!

The straight part
We know that "What's right in heart of Tate" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case what's right in heart of tate = art.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 ART mean?
ART noun- The conscious production or arrangement of sounds, colours, forms, movements, or other elements in a manner that affects the senses and emotions, usually specifically the production of the beautiful in a graphic or plastic medium.
- The creative and emotional expression of mental imagery, such as visual, auditory, social, etc.
- Skillful creative activity, usually with an aesthetic focus.
- The study and the product of these processes.
- Aesthetic value.
- Artwork.
- A field or category of art, such as painting, sculpture, music, ballet, or literature.
- A nonscientific branch of learning; one of the liberal arts.
- Skill that is attained by study, practice, or observation.
- Contrivance, scheming, manipulation.