A two-under-par 70 left 54-year-old Jimenez two strokes behind leader Mikko Korhonen of Finland at Diamond Country Club near Vienna.
Korhonen shot 67 for a nine-under 135 halfway total, and a one-shot advantage over Englishman Steve Webster and South African Justin Walters.
The European Tour tournament is the first held on a major tour in which players are being timed on every shot in an effort to speed up play.
Competitors are allowed 40 seconds — or 50 seconds for the first player in a group to hit — with a one-stroke penalty for a bad time.
Through two rounds, nobody had been penalised and the experiment appeared to be a resounding success.