A mild slang name for a penis, supposedly less offensive that cock, prick, or dick, it does not have the fecal connotations of dingleberry but is used to describe the penis in much the same circumstances by much the same people. In addition it can also be used as a mildly disparaging term for a person who has exasperated you by doing something atypically stupid.
"I had to rush like hell to get here on time. I was halfway here when I remembered I'd left the contract in my desk at home and had to go back for them, I felt like a right dooberry."
When a man milks a woman's titties (dooberries), gathers the milky substance in a mug, ejaculates in the mug, then throws the concoction at a woman's face. If preferable, add a few other fruits to sweeten the mixture.
Yo dude, I saw this gnarly hobgobblin who was looking for some spunk. I offered a few bucks and gave her a good old-fashioned Dooberry Splash. I put cayenne pepper in the mug--she won't be able to see for weeks!