点 has many uses: (1) time — 三点 (3 o'clock); (2) 一点 or 有点 — a little bit; (3) verb — to order food (点菜); (4) to nod (点头).
mistakes
一点 vs 有点: 一点 is used after adjectives and means 'a bit more' (大一点 = a bit bigger). 有点 is used before adjectives and has a slightly negative tone (有点贵 = a bit expensive).
Bottom fire radical — four flame-dots, the squashed form 火 takes when it sits under a character. The indexing radical for 点; the dots themselves resemble the small marks of ink the character names. Same radical anchors 热 (hot), 烧 (burn), 煮 (boil).
Top 占 supplies the sound (zhàn → diǎn, drifted within dental-affricate family) and a faint flavor of marking a position — fitting for the 'dot' meaning where each point claims a spot. Phonetic family includes 店 (shop), 沾 (moisten), 站 (stand).
