Cher - who has been married twice - told US talk show host Oprah Winfrey she is currently single, because men find it difficult to deal with her fame.
She added: "Dating is a strange thing. It's not every man who can be comfortable with me. Being Cher is a hard thing and difficult for him to hold his place."
Tom, 45, divorced Mimi in 1990 after three years of marriage. He later married Nicole Kidman, who he split from in 2001 after 11 years of marriage.
He wed Katie Holmes - the mother of his two-year-old daughter Suri - in 2006.
Cher, 61, was married to musician Sonny Bono from 1964 to 1975. She later married singer Gregg Allman, who she divorced in 1979 after four years of marriage.
- BANG! SHOWBIZ