snoring
鼾 centers on the sound of snoring, specifically the noise produced during sleep.
鼾 combines 鼻 (nose) with 干, which likely contributes the sound カン. The character expresses snoring as a sound associated with the nose.
The nose radical 鼻 beside 干 suggests a dry, rasping sound coming from the nose: snoring.
For カン, imagine a can rattling with each snore: can -> カン, and the noise comes from the nose.