Toss cucumber and onion with 3/4 teaspoon salt in a sieve set
over a bowl and drain 3 hours. Discard liquid from bowl. Wrap
cucumber and onion in a kitchen towel (not terry cloth) and
squeeze out as much liquid as possible.
Bring lemon juice, sugar, and 1/4 teaspoon salt to a boil in a
small heavy saucepan, stirring until sugar has dissolved, then
boil until reduced to about 1/2 cup, 3 to 4 minutes. Add
cucumber-onion mixture and simmer, stirring, 2 minutes. Stir
arrowroot starch mixture, then stir into relish. Simmer, stirring, 1
minute. Transfer relish to a bowl and chill, uncovered, until cold,
about 1 1/2 hours.
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