http://physicsworld.com/cws/article/news/2013/may/23/quantum-microscope-peers-into-the-hydrogen-atom http://io9.com/the-first-image-ever-of-a-hydrogen-atoms-orbital-struc-509684901 they are claimed to be images of the actual wave function of hydrogen. Does this mean that wave function is a real object after all?
Maybe we can say that if we assume that the wavefunction is real and we calculate what we would expect to obtain from this experiment the calculated result is the same as the experimental result. Occam's razor might then say, the simplest interpretation is that the wavefunction is real...
...as pointed out by @Sofia the wavefunction is at least a useful mathematical tool.
As sofia says these images are created by repeatedly recording the position of electrons in many many identical atoms. In that sense you can map out the probability of where an electron will be at any given moment in time which is the square of the wave function. In terms of asking is the wave function "real" this opens up a can of worms. I suggest you look into the many arguments for epistemic or ontic interpretations of the wave function. Particularly for epistemic psi "spekkens toy theory" and for ontic psi have a look at "pbr theory". These may help clarify to what extent we can call the wave function a "real" quantity.