The most common and most likely answer to this crossword clue is the 11 letter word MANIPULATES
I've seen this crossword clue in The Daily Telegraph
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Buddy explains!

The straight part
We know that "massages" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case massages = manipulates.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 MANIPULATES mean?
MANIPULATES verb- To move, arrange or operate something using the hands
- To influence, manage, direct, control or tamper with something
- To handle and move a body part, either as an examination or for a therapeutic purpose
- To influence or control someone in order to achieve a specific purpose, especially one that is unknown to the one being manipulated and beneficial to the manipulator; to use
- To use the hands, especially in scientific experiments.