From Longman Dictionary of Contemporary Englishstake your claim (for something)stake your claim (for something)RIGHT/HAVE THE RIGHT TOto say that you have a right to own or do something, especially when other people also say they have a right to it Tickets are on a ‘first come, first served’ basis, so stake your claim now. → claim
Examples from the Corpus
stake your claim (for something)• Other fish may have already staked their claim to other hiding places in your aquarium.• Families were already staking their claims on the beach; children were digging eagerly as terriers, spraying sand all around them.• Shastri died in 1966, and Indira Gandhi staked her claim.• Honor had been satisfied; each group had staked its claim to its own territory.• If you want him, stake your claim.• Those undertaking the drainage were quick to stake their claim to the best bits of land.• Before we staked our claim to our own windward isle, there was something I wanted to see first. 