[Actually open to correction, I swear] Didn't Georgia invade South Ossetia shortly after vague noises about it being able to join NATO one day? I understand that under modern international law South Ossetia is part of Georgia but it's never been actually ruled by post-Soviet Georgia. They were invading.
On a separate note, why would any country treat the UK's guarantee as worth anything after Cyprus?
http://en.m.wikipedia.org/wiki/Turkish_invasion_of_Cyprus
In response to the coup, US Secretary of State Henry Kissinger sent Joseph Sisco to try to mediate the conflict.[42] Turkey issued a list of demands to Greece via a US negotiator. These demands included the immediate removal of Nikos Sampson, the withdrawal of 650 Greek officers from the Cypriot National Guard, the admission of Turkish troops to protect their population, equal rights for both populations, and access to the sea from the northern coast for Turkish Cypriots.[47] These demands were rejected as they would have given Turkey an unacceptable amount of power on the island. Turkey, led by Prime Minister Bülent Ecevit, then applied to Britain as a signatory of the Treaty of Guarantee to take action to return Cyprus to its neutral status. Britain declined this offer, and refused to let Turkey use its bases on Cyprus as part of the operation.