The Isley Brothers‘ song “Fight The Power” might have the most famous lyrics about getting the run around:

I try to play my music
They say my music’s too loud
I tried talkin’ about it
I got the big run around
And when I rolled with the punches
I got knocked on the ground
By all this bullshit going down

Or maybe it’s Dion‘s doo-wop song dedicated entirely to Runaround Sue:

She likes to travel around
She’ll love you but she’ll put you down
Now people let me put you wise
Sue goes out with other guys
Here’s the moral and the story from the guy who knows
I fell in love and my love still grows
Ask any fool that she ever knew, they’ll say
Keep away from-a Runaround Sue

“Run Around” by Mop Mop featuring Fred Wesley on trombone & lyrics by Anthony Joseph is a strong contender to enter the top three most famous songs about getting the run around.