I've observed a figure of speech used heavily by rappers which uses the basic construction of a simile—a "this like that" comparison—when the similarity in the comparison is purely linguistic. That is, rather than comparing two actually similar entities, a purely equivocal connection is drawn between two entities.
An example that comes quickly to mind a phrase from Canon's song "Let 'Em Have It" on his new EP, Loose Canon:
Trust me, quote me like I'm State Farm
State Farm gives insurance quotes—which is an entirely different kind of quote than intended by "quote me".
Normally, this might be considered to be a defective simile. However, I have heard it entirely too many times by too many different talented lyricists to believe that—I think it is a valid figure of speech within this art form. By the deliberate use of "like" in a dissimilar construction, Canon lends a playful feel to his lyrics and makes them more memorable.
For lack of a better name, I would be tempted to call it an equivocal simile. But is there an established name for this figure of speech? Is it known to exist outside of hip-hop in English usage?