Perhaps you have heard of taqiyya, the Muslim doctrine that allows lying in certain circumstances, primarily when Muslim minorities live under infidel authority. Now meet tawriya, a doctrine that allows lying in virtually all circumstances—including to fellow Muslims and by swearing to Allah—provided the liar is creative enough to articulate his deceit in a way that is true to him.
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As a doctrine, "double-entendre" best describes tawriya's function. According to past and present Muslim scholars (several documented below), tawriya is when a speaker says something that means one thing to the listener, though the speaker means something else, and his words technically support this alternate meaning.
For example, if someone declares "I don't have a penny in my pocket," most listeners will assume the speaker has no money on him—though he might have dollar bills, just literally no pennies. Likewise, say a friend asks you, "Do you know where Mike is?" You do, but prefer not to divulge. So you say "No, I don't know"—but you keep in mind another Mike, whose whereabouts you really do not know.