No Pun Intended

Have the statement above crossed your daily conversation before? Well, i did when i was chatting with my friend. She said something and put that statement at the end of her sentence. Actually, 'no pun intended' mean, based on the websites that i searched is when you said something that have double meaning or joke that you did not intend to make it. For example, a guy with one hand is in the supermarket, he keeps dropping a bag of oranges, a woman comes up to him and says.."need a hand ? " she says no pun intended ( meaning she's not joking about his lost limb ). Hope, i can make the meaning clear to you.. :)