The best replacement for served is time sentenced.

The best alternatives to served are rated as following:
★★★★★  time sentenced
★★★★  first come first serve
★★★★  serve
★★★★  stomp the yard
★★  serving
★  serviced
★  sentence
★  underserved
★  offered
★  well served

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Speaking about served, one probably shouldn't forget about summons.

Other search terms related to served and their ratings are:
★★★★★ summons
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Google Trends

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served
time sentenced
first come first serve