India, both pre- and post-independence, used the term 'Service' to indicate government use, as did many of those Indian States which used stamps specifically for government use.
Some, like your specimen from Jaipur State, simply used the word 'SERVICE'. Travancore State also did:

Others used local Indian language versions of 'Service'. Soruth State, for example, overprinted its government stamps with the word 'SARKARI', meaning 'Service':

Hyderabad State overprinted its government stamps 'Sarkari' but written in Urdu/Persian script:

Other states used both English and local scripts, like Bundi State:

And others used initials for On State Service or On (name of state) Service. Sirmoor States overprinted its stamps On S S:

and Cochin State overprinted its government stamps O(n) C(ochin) S(state) S(ervice):

And I could go on and on ...