Beyond the literal meaning (beak/snout), 喙 appears in the formal phrase 置喙, meaning to intervene or put in one's two cents. 不容置喙 means 'allowing no objection'.
Left 口 - pictograph of an open mouth. As the indexing radical it carries the meaning: a beak is the bird-equivalent of a mouth. Same radical groups 喙 with other mouth-and-speech chars: 嘴 mouth/beak (the more common modern word), 唇 lip, 吻 lips/kiss, 吼 roar.
Right 彖 supplies the sound - tuàn drifting to huì via an old t/h alternation. Originally 彖 pictured a pig's head and snout, which also reinforces the 'snout, muzzle' meaning of 喙. The character is rare; most learners meet 彖 only here and in the 易经 judgement texts.