The state, condition, or quality of being a gorilla, or a playful/humorous reference to gorilla dominance or characteristics.
Compound of 'gorilla' plus the -ship suffix (Old English '-sciepe'), which typically denotes a state, condition, office, or relationship. This appears to be a rare or humorous coinage.
The -ship suffix is ancient English magic: it built 'friendship,' 'leadership,' and 'kinship'—but applying it to 'gorilla' is creative wordplay, showing how language is more like jazz improvisation than rigid rules.
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