Does Eager Apprentice reduce repeat costs?

Yes, Eager Apprentice reduces the total cost of a spell that includes a Repeat cost.

According to RiftJudge FAQ #629, Eager Apprentice reduces the total cost of a spell only once, even when that spell is repeated. The cost reduction applies to the combined total of the spell's base cost and the additional Repeat cost.

Here is the sequence for determining the cost:

1. Declare: Declare you are using Repeat when putting the spell on the chain.
2. Calculate: Determine the total cost by adding the base cost and the Repeat additional cost.
3. Apply: Apply cost reductions (such as Eager Apprentice) to that combined total.
4. Pay: Pay the final calculated cost.

As noted in the rules (Rule 356.4.f), cost reductions can apply to additional costs, and Eager Apprentice's discount stacks if you have multiple copies on the battlefield (FAQ #8817).