--light line light swivels... bead chain may have to much resistance to stop line twist.
--try a micro swivel.. often used by centerpin guys.
--I use Raven ultra Micro...
www.raventackle.com from
www.centerpinangling.com maybe not the brand but this type of swivel would be available at your local shops.
--I recently got a package of invisaswivel from
www.aquateko.com also available at Cabelas canada... haven't tried them yet but they feel like they would work... these area made of fluorocarbon so virtually no weight but larger size than the metal micro swivels.
--other thing is to check the reel if it doesn't have a roller bail might have to go with a more expensive reel.
--having drag set to loose and winding with some slipage will cause twist.
--If still getting twist might have to try a small in line rudder to give enough resistance for the swivels to work.