One problem related to engine clicking and tapping noises has been reported for the 2013 Subaru Crosstrek. The most recently reported issues are listed below.
After taking my vehicle into dealership for valve spring recall, service rep also suggested oil change at same time. I agreed. As soon as I drove it off the dealership lot, check oil light came on. I immediately returned car to have it checked but dealership said oil was full, probably faulty sensor and sent me away without fully checking the car. Check oil light would intermittently light up when driving locally. Then engine tapping sound and check engine light started a few weeks later while driving locally but indicator lights would turn off for short periods immediately after starting car, or while driving up or down steep inclines. Local mechanic confirmed that oil pressure was low and recommended taking it back to dealership. Another dealership is now disassembling the engine and recommending a new engine as oil pressure is low and not circulating properly after valve spring recall repair.