Inside
里 supplies the sound — lǐ drifting to lí through tone shift.
里 itself depicts a field (
田) above earth (
土), the seed for 'village, neighbourhood, inner.' Helpfully,
里 was also a classical unit of distance — and
厘 is a tiny unit of measurement (a hundredth, a thousandth). The phonetic carries both reading and a faint measurement flavour.