You 'have a car' - a car is in your possession. You can also have a person. You have a boyfriend, or a girlfriend, you have a mother and a father. And you can have someone waiting on you. It just means there is a person waiting for you. In this case it probably means a lover, since it's a song about a girl hoping the guy doesn't have a girlfriend.

Neither. It means, please don't make someone wait for you because you are late. However, this is not "proper" English, it's slang.

ILLNESS to suffer from an illness or a disease: I’ve got a headache. EXPERIENCE to experience sth: I went to a few parties and had a good time. I was having difficulty in staying awake. She’ll have an accident one day. EVENT to organize or hold an event: Let’s have a party. EAT / DRINK / SMOKE15[vn] to eat, drink or smoke sth: to have breakfast / lunch / dinner I’ll have the salmon (= for example, in a restaurant). I had a cigarette while I was waiting. DO Someting to perform a particular action: I had a swim to cool down. (BrE) to have a wash / shower / bath GIVE BIRTH to give birth to sb/sth: She’s going to have a baby. EFFECT to produce a particular effect: His paintings had a strong influence on me as a student. The colour green has a restful effect .RECEIVE to receive sth from sb: I had a letter from my brother this morning. Can I have the bill, please HAVE STH DONE have sth done to suffer the effects of what sb else does to you: She had her bag stolen. PUT SB / STH IN A CONDITION to cause sb/sth to be in a particular state; to make sb react in a particular way: [vn-adj] I want to have everything ready in good time. [vn -ing] He had his audience listening attentively. IN ARGUMENT27(also have got) [vn] (informal) (not used in the progressive tenses) to put sb at a disadvantage in an argument: You’ve got me there. I hadn’t thought of that. FOR A JOB have sb as sth to take or accept sb for a particular role: Who can we have as treasurer?

"have" in "Please don't have somebody waiting on you"? i think it means " Please don't make make somebody waiting on you ( for your sake) ? Have contain many meanings : OWN / HOLD 1(also have got) (not used in the progressive tenses) to own, hold or possess sth: He had a new car and a boat. Have you got a job yet? I don’t have that much money on me. She’s got a BA in English. CONSIST OF 2(also have got) (not used in the progressive tenses) be made up of: In 1999 the party had 10 000 members. QUALITY / FEATURE3(also have got) (not used in the progressive tenses) to show a quality or feature: [vn] The ham had a smoky flavour. The house has gas-fired central heating. They have a lot of courage. He’s got a front tooth missing. 4(also have got) to show a particular quality by your actions: Surely she didn’t have the nerve to say that to him? RELATIONSHIP used to show a particular relationship: He’s got three children. Do you have a client named Peters? Something AVAILABLE to be able to make use of sth because it is available: Have you got time to call him? We have no choice in the matter. SHOULD / MUST to be in a position where you ought to do sth: We have a duty to care for the refugees. .HOLD to hold sb/sth in the way mentioned: She’d got him by the collar. He had his head in his hands. PUT / KEEP IN A POSITION to place or keep sth in a particular position: Mary had her back to me. Ç I soon had the fish in a net. FEELING / THOUGHT to let a feeling or thought come into your mind: He had the strong impression that someone was watching him. We’ve got a few ideas for the title. (informal) I’ve got it! We’ll call it ‘Word Magic’.

Taylor baby! :P I'd wait for her. :P