An idiom meaning to get a taste for something after initial success; to be encouraged by a first success and want more.
一度小さな契約で大きな利益を得た彼は味を占めて、さらにリスクのある投資に手を出した。
After making a big profit from a small contract, he got a taste for it and moved on to riskier investments.
子どもはお菓子をねだって一度もらうと味を占めて、何度も要求するようになった。
Once the child successfully begged for sweets, he got a taste for it and began asking repeatedly.
店が繁盛してオーナーは味を占め、次々に支店を出すことにした。
The shop prospered, the owner got a taste for it, and decided to open branch after branch.