FRIDAY: The two sides are nearing resolution on the claim with just minutes remaining until the deadline, according to Marc Topkin of the Tampa Bay Times (on Twitter).
THURSDAY, 11:37am: Rogers tweets that the Rays are the team that has claimed DeJesus.
11:22am: The Braves are not the team that claimed DeJesus, according to Jesse Rogers of ESPN Chicago (Twitter link).
10:58am: An unknown team has claimed David DeJesus on revocable waivers from the Nationals, according to Ken Rosenthal of FOX Sports. Rosenthal notes that the deadline to work out a deal is tomorrow at 1pm ET, which would indicate that DeJesus was claimed yesterday afternoon (Twitter links). He also points out that the Nationals could, of course, simply let the claiming team have DeJesus and assume the remaining $2.5MM he's owed (between his 2013 salary and his $1.5MM option buyout).
The Nationals acquired DeJesus on Monday and immediately placed him on revocable waivers. It seemed an odd move, though Rosenthal reported at the time that the Nationals may not have been that interested in acquiring DeJesus when they made their claim. This is my own speculation, but the Nats could have acquired DeJesus for a player to be named later simply to move him to a team with worse waiver priority in hopes of receiving a superior player to the PTBNL they sent to Chicago.
In 320 plate appearances this season, DeJesus is batting .248/.328/.399. Nearly all of his damage has come against right-handed pitching, as evidenced by his .266/.347/.440 batting line against opposite-handed pitching. Ultimate Zone Rating has graded his center field defense as a positive this season (The Fielding Bible has not), which is a rarity, considering his -0.6 career UZR/150 in center. Both metrics suggest that he's a plus corner defender.