Acarology is the scientific study of ticks and mites. While these pests might seem like a weird subject to some people, they're very important to the ecosystem and can teach us a lot about life on Earth.
The acar- in acarology comes from Acari, a scientific name for ticks and mites considered as a group. That, plus the ending -ology, meaning "the scientific study of," gives you a word that means "the scientific study of ticks and mites." Fun fact from acarology: ticks and mites are actually arachnids like spiders and scorpions, not insects, so it's technically inaccurate to call them "bugs!"