The Chinese word for tea towel is
茶巾

chá jīn

Chinese Definition

Components
茶
1. tea (plant, leaves)
種zhòng 茶 (zhòng chá) - to grow tea
2. tea (beverage made by infusing tea leaves in hot water)
綠茶 (lǜchá) - green tea
沏茶 (qīchá) - to make tea
一杯茶 (yī bēi chá) - a cup of tea
3. certain kinds of beverage or liquid food
涼茶 (liángchá) - Chinese herb tea
冬瓜茶 (dōngguāchá) - winter melon punch
杏仁茶 (xìngrénchá) - almond tea
4. Chinese medicine
午時茶 (wǔshíchá) - Afternoon Tea
5. yum cha
早茶 (zǎochá) - morning yum cha
去茶樓飲餐茶 - to go yumcha at a dim sum restaurant
6. (obsolete) a moment (the time it takes to drink a cup of tea)
7. (dialectal Mandarin, Cantonese, Gan, Xiang, Wu) boiled or boiling water
巾
1. a square item of cloth; towel; kerchief
2. (historical) piece of clothing worn on the head in China