Final answer:
Telemachus accepts a silver mixing-bowl finished with a lip of gold from Menelaus.
Step-by-step explanation:
The gift that Telemachus accepts from Menelaus is A silver mixing-bowl finished with a lip of gold.
This information is not explicitly mentioned in the provided text, but it is a fact from Greek mythology that Menelaus, the king of Sparta, gifted Telemachus, the son of Odysseus, with this particular item.