there have been a few times when something was injured and i had to stop completely, but this is very rare.
more frequent are slight muscle pulls and sore joints/tendons. in these situations, i find it more harmful to stop. i always continue the same movements as before but with a lighter weight that doesn't exacerbate it.
i don't know if what you're describing is an injury or just a slight pull or sore joints/connective tissue, but that's how i handle both those situations.