しゃぶる (shaburu) means “suck on” | MotiTan Japanese Dictionary

More examples

小さな子どもは、飴をしゃぶっています。chii sa na ko do mo wa ame o sha bu tte i ma su

Young children suck on candy.

Describes keeping something in the mouth and drawing out its taste or moisture with the tongue or lips.

吸うsū: To draw liquid or flavor into the mouth by creating suction.
なめるnameru: To move the tongue over something to taste or moisten it.

口に含んだ物を舌や口でなめたり吸ったりして味わう。kuchi ni fuku n da mono o shita ya kuchi de na me ta ri su tta ri shi te aji wa u

しゃぶる (shaburu) is a native Japanese verb, but its deeper origin is uncertain.

In Japanese, しゃぶる (shaburu) can describe slowly keeping ice or candy in the mouth, while English usually distinguishes sucking on it from licking it.