The term "eye-beaming" refers to the expression of intense emotion or happiness, often reflected in the eyes. There are several synonyms for this term that can be used to describe the same effect. These include "glistening," "sparkling," "gleaming," "shimmering," "twinkling," and "radiant." Other synonyms include "blazing," "glittering," "beaming," and "dazzling." Each of these terms can be used to describe the way a person's eyes light up when they are filled with happiness, excitement, or joy. By using these synonyms, you can add more depth and nuance to your writing and convey the exact feeling you want to express.