Arrow Starter Problem

Writing for a friend with an Arrow that is having a recurring starter
problem. The battery has been charged and tested, everything else checks
out, and there is the right amount of voltage at the starter. It works
once or twice (in a row), then if left overnight, it won't restart (no
response from starter whatsoever). The starter has been replaced three
times with the same result -- starts right up on the first few tries,
but next day, it won't restart.

Anyone else experience this?
Thanks in advance.