Hello Marge, mature Key lime plants will continue to grow up and tall if they are not pruned or pinched back, thats just they're nature. The most important factor for getting fruit is probably time. At 2 years old your plant is still somewhat young but if its very healthy with a strong root system and proper full sun exposure and fertilizer it could potentially start to bare fruit. Keep in mind that flowers generally grow on the older branches so its best to prune in early spring before the plant goes into very active growth. Here's a helpful article with some great care instructions, good luck! https://www.logees.com/growingcitrus
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