Green’s Dictionary of Slang

a greedy person.

1918		Aussie (France) VII Sept. 7/2: ‘Give us a swig,’ croaked Joe. / ‘Gutzer! I finished it an hour ago,’ mumbled Dinkum.
1955		J. Morrison Black Cargo 162: Good old Gutser!
1988		McGill Dict. of Kiwi Sl. 53/2: gutser glutton.
2003		McGill Reed Dict. of N.Z. Sl. [as cit. 1988].