Green’s Dictionary of Slang

star-glazer n.

(UK Und.) one who cuts the panes out of shop-windows.

[UK]Bell’s New Wkly Messenger 9 Mar. 6/2: The several descriptions of London thieves are bludgers and stick slingers, or those who go out plundering with women; star-glazers, or those who cut out shop windows; snoozers, or those who sleep at railway hotels; [...] dragsmen, or those who rob carts.
[UK]H. Mayhew Great World of London I 46: ‘Star-glazers,’ who cut the panes of glass from windows.
[UK]H. Mayhew London Labour and London Poor (1968) IV 25: ‘Star-glazers,’ or those who cut the panes out of shop-windows.