Do I enter box 10 on my 1098 anywhere on my tax return?

1098 or 1098-T?

If 1098-T, "Box 10 of the form comes into play only in cases in which students have had expenses reimbursed under a "tuition insurance" policy. Such policies reimburse students when they are forced to withdraw from school—for medical reasons or family emergencies, for example—after paying nonrefundable tuition.

• When an insurer reimburses a student's expenses, it provides that student with a copy of the 1098-T.
• Box 10 is used to show the amount reimbursed.
• The amount of expenses used to calculate credits generally are reduced by any reimbursement reported here.

Reference: https://turbotax.intuit.com/tax-tips/college-and-education/guide-to-tax-form-1098-t-tuition-statement/L3SqH8fg0

Are you asking about Form 1098 for mortgage interest or Form 1098-T for tuition? If you are asking about Form 1098-T see the answer from Hal_Al above.

If you are asking about Form 1098, box 10 can be used for many different things. One of the common things it might show is the amount of real estate tax that the lender paid to the municipality. If that's what it is, enter the amount in the box for "Property (real estate) taxes paid on the screen where you enter the 1098. If it's anything else, it's probably just for your information and does not have to be entered in your tax return.