place name, tree cricket
邯 is a rare kanji used primarily in proper nouns, especially the Chinese place name 邯鄲 (Handan). Its standalone meaning is tied to that place name and, by extension, to a tree cricket, likely through a literary or regional association.
邯 is a phono-semantic compound: the left side 甘 (sweet) likely contributes the sound, while the right side ⻏ (阝, a form of 邑 meaning 'city') indicates a place name. The exact historical development is uncertain.
The left side 甘 (sweet) and the right side ⻏ (city wall) together suggest a sweet city: imagine the famous place 邯鄲 known for its sweet tree crickets singing on the city walls.
For カン, picture a can of sweet tree crickets from the city of 邯鄲: can -> カン, and the sweet city's crickets come in a can.
—