The most common and most likely answer to this crossword clue is the 13 letter word RELATIONSHIPS
I've seen this crossword clue in The Guardian
R
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More clues leading to the result RELATIONSHIPS
Buddy explains!

The straight part
We know that "Loves" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case loves = relationships.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 RELATIONSHIPS mean?
RELATIONSHIPS noun- Connection or association; the condition of being related.
- The links between the x-values and y-values of ordered pairs of numbers especially coordinates.
- Kinship; being related by blood or marriage.
- A romantic or sexual involvement.
- A way in which two or more people behave and are involved with each other
- The level or degree of affinity between keys, chords and tones.