The MUT clip is made of solid Titanium and is very hard and inflexible. I believe LM designed it deliberately that way so once attached it stays that way. I use mine all the time and don't have that issue but I don't use it hard-core in active duty, in the field, downrange etc. so it doesn't get snagged much.
The little hack derekmac mentioned above sound like something that could work for you too...worth giving it a try, IMO.
Cheers
