隨身聽 (suíshēn tīng) literally means "carry-with-body listen" — it's the Chinese word for a Walkman-type portable player. It's used mostly on its own, combined with the type of media it plays:

• CD隨身聽 (CD suíshēn tīng) — portable CD player
• 卡帶隨身聽 (kǎdài suíshēn tīng) — cassette Walkman
• MP3隨身聽 (MP3 suíshēn tīng) — portable MP3 player

The word is a bit dated now that phones do this job, so younger speakers may not use it much, but older speakers or nostalgic contexts still do. Example: 我小時候有一台隨身聽,常常聽卡帶。 (Wǒ xiǎoshíhou yǒu yì tái suíshēn tīng, chángcháng tīng kǎdài.) — "When I was a kid I had a Walkman, and I often listened to cassette tapes."

The first part, 隨身 (suíshēn, "carry on one's person"), is much more productive and shows up elsewhere: 隨身行李 (suíshēn xíngli, carry-on luggage), 隨身物品 (suíshēn wùpǐn, personal belongings), and 隨身碟 (suíshēn dié), which in Taiwan means a USB flash drive (mainland Chinese usually says U盘, U pán, instead). So while 隨身聽 itself doesn't branch into many phrases, its root 隨身 is a useful word to know on its own.