The most common and most likely answer to this crossword clue is the 8 letter word ADMIRING
I've seen this crossword clue in The Daily Telegraph
A
D
M
I
R
I
N
G
Buddy explains!

The straight part
We know that "Loving" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case loving = admiring.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 ADMIRING mean?
ADMIRING verb- To be amazed at; to view with surprise; to marvel at.
- To regard with wonder and delight.
- To look upon with an elevated feeling of pleasure, as something which calls out approbation, esteem, love or reverence.
- To estimate or value highly; to hold in high esteem.
- To be enthusiastic about (doing something); to want or like (to do something). (Sometimes followed by to.)
- Admiration
- Feeling or showing admiration.