Don't go around prying into other people's private affairs.
Tips
usage
Stronger and more covert than 打听 (dǎtīng, 'to ask around'). 探听 implies sounding things out carefully, sometimes secretly — fitting for spies, gossipers, or anyone fishing for information they shouldn't have.
memory
探 = 'to probe, explore' + 听 = 'to listen.' Picture leaning in, ear cocked — 'probe-listening' for rumors.