Latino Review has heard an "unconfirmed rumor" that Ant-Man will include references to Spider-Man and Oscorp. While they don't say how Spidey will be referenced, they do suggest that Oscorp could come up in a scene involving Darren Cross (Corey Stoll) trying to sell the Ant-Man/Yellowjacket technology.
Apparently this scene will include other nefarious Marvel organizations, like The Ten Rings (Iron Man) and Roxxon (Agent Carter, Daredevil). So, it would make sense if Oscorp is the mix for the Ant-Man/Yellowjacket tech as well.
Armed with the astonishing ability to shrink in scale but increase in strength, con-man Scott Lang must embrace his inner-hero and help his mentor, Dr. Hank Pym, protect the secret behind his spectacular Ant-Man suit from a new generation of towering threats. Against seemingly insurmountable obstacles, Pym and Lang must plan and pull off a heist that will save the world.
Marvel's Ant-Man hits theaters July 17, 2015.