爬

Top radical 爪 - a clawed hand reaching down, three angled strokes plus the curved palm. Indexing radical for 爬 and the perfect semantic match: crawling and climbing both rely on hooking your claws into something. Same radical drives 抓 (grab), 觅 (search), 受 (receive), 爱 (love - historically a hand offering).

Right-bottom phonetic 巴 supplies the sound (bā → pá, a related labial reading). 巴 originally pictured a coiled snake or a lizard-like creature clinging to surfaces, so it bleeds a strong semantic flavour: clinging, latching on. Same phonetic appears in 把 (grasp), 吧 (suggestion particle), 爸 (father).