Likely a rare variant of Liam, a short form of William meaning resolute protection.
Laim reads as an alternative spelling of Liam, the Irish short form of Uilliam — itself the Gaelic adaptation of the Norman French Guillaume, which descended from the Old High German *Willahelm*, meaning 'will-helmet' or 'resolute protector.' It is a name with extraordinary genealogical reach: from the Germanic tribal chieftains who carried *Wilhelm* across early medieval Europe, to the Norman conquerors who brought *William* to England in 1066, to the Irish who shaped it into their own tongue as *Liam*, to the modern parents across the English-speaking world who have made Liam the number-one baby name in the United States for much of the 2010s and 2020s. The spelling Laim — placing the 'i' before the 'a' — inverts the conventional digraph and gives the name a visual distinctiveness that sets it apart from its enormously popular standard form.
This kind of orthographic individuation is a recognizable move in contemporary naming: keeping the sound intact while differentiating the written form. Whether it reads as a deliberate variant or simply a creative choice, Laim ensures the child won't be one of five Liams in a classroom, while still giving him a name that is phonetically immediate and familiar to every English speaker. Liam has been carried by poets (Liam Clancy of the Clancy Brothers), actors (Liam Neeson), and musicians across generations.
The name's rise in American popularity is partly attributable to Irish-American cultural identity and partly to the broader trend of short, strong, vowel-rich names. Laim inherits all of that cultural freight while wearing it a little differently.