Bengals.com editor Geoff Hobson says Eifert bruised his shoulder on the first day of mini-camp and missed the rest of OTAs. He also specifically mentions that Eifert directly addressed concerns it had nothing to do with the neck injury he suffered during the 2013 playoffs All systems are green for him heading into training camp and competing with Jermaine Gresham for starting TE duties.
Yes, there will be a competition for TE duties this year. Eifert seems to be the better talent but they both split playing time last year and the official Bengals website has Gresham listed with the first-team offense. It's a situation to monitor through training camp and preseason.