The phrase "clap eyes on" means to see or notice something or someone for the first time. However, there are several synonyms that can be used to convey the same idea. These include, but are not limited to, "lay eyes on," "spot," "catch a glimpse of," "discover," "encounter," "come across," "stumble upon," and "unearth." Each of these words or phrases presents a slightly different nuance, but they all ultimately communicate the act of seeing or noticing something or someone that was previously unknown or unseen. In other words, they all reflect the sense of discovery or surprise that often comes with experiencing something or someone new.