This is from CSI NY. Two investigators are examining a victim's body.
Joe: Well, I almost ran out of here. Any idea who she is?
Mic: No. Definitely doesn't work in the lab.
closed as not a real question by Jasper Loy, aedia λ, Matt Эллен♦, FumbleFingers, simchona♦ Nov 1 '11 at 0:15
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From the context given, it appears intended to be parsed as "ran" (verb, past tense of "run": to move at a very fast pace) "out of here" (away from the current location).
(Not as in "ran out of" (ended up with no items left of) "here" (the current location), which clearly doesn't make any sense.)
One presumes that Joe was very surprised and scared upon discovering the victim's body in the lab, and almost ran away because he was so frightened.