Gordon Beckham is runaway winner of this award.
Pre-season: High hopes because that 2009 2nd half was quite tasty, especially for a rookie.
April: suckful, but you hang onto him because anyone can have a bad month.
May: 82 at-bats, 0 extra-base hits. .417 OPS.
June: dropped. Someone else picks him up, you shrug. More suckitude.
If someone is the level of uselessness that Beckham was at the end of June, you'd have to have massive benches to hang on to him "just in case"