A garment with two sides that are buttoned or clasped together and can be easily opened is not considered to be closed along the sides and is still obligated in tzitzis. Similarly, if a person wears a tight belt that brings the two sides of a garment together, he still must affix tzitzis to it. If the two sides were clasped together and the clasp was bent into the holder (rendering it difficult to open), however, the sides are considered connected and the garment is exempt from tzitzis. A person who wears a buttoned or clasped tallis koton over his clothing should make sure that most of the sides are clearly open so that people will not mistakenly assume that his garment is exempt from tzitzis.
[שו"ע י, ח, משנ"ב כט, וביה"ל ד"ה רובו, וד"ה משום; ביאורים ומוספים דרשו, 21]