Hey mate, from experience it sounds like bad spring. You'll need to replace it, if you can't stand it acting on its own. You can try salvaging a spring for something else, on a like for like basis or you can buy the springs online.
This is what the spring should look like; http://i01.i.aliimg.com/wsphoto/v1/1904075089_1/for-PS3-Controller-Spring-L2-R2-Trigger-Button-for-font-b-Sixaxis-b-font-font-b.jpg
And as for the snug question, it should be fairly snug, as too much play means the spring is most likely losing its strength.
Hope this helps you out mate