Do we have any idea, or any educated guesses?
I answered a question about Anglo-Saxon music from the same time period a while back, and most of that answer would translate well to Clovis' kingdom. The lyre - a small, portable harp - was popular on both sides of the English Channel.
Here's the answer, and I would be happy to answer any followup questions: https://www.reddit.com/r/AskHistorians/comments/3kth8q/what_would_someone_in_the_5th_century_actually/