No, you can't claim that income on your return.
You would use the 1098-T on your return only to apply for an education credit. Since the student received more aid (scholarship) than what was paid in tuition and books, there is no education credit available. Since you entered the 1098-T into your TurboTax program, it let you know that you don't qualify for a credit, but now the student needs to file and claim that income. The student can still be claimed as your dependent if they meet the requirements to be your Qualified Child or Qualified Relative.
When the dependent student files and claims that income, be sure they choose "Someone else can claim me" in the Personal Info section.
In order to enter the scholarship income on the student's return, you can enter the 1098-T in the Education Section (under Deductions & Credits) in their TurboTax program the same way you did that in your TurboTax program (including Books and Supplies). The taxable income the student needs to claim (in your case 6163) will show up on their Schedule 1 line 8r.
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