All REST API methods which required a session key should just fine with an access token.
I just tested the links.preview method you mentioned before:
https://api.facebook.com/method/links.preview?url=http://www.google.com&format=json&access_token=<REMOVED>
Response was:
{
"href":"http:\/\/www.google.com\/",
"name":"Google",
"caption":"www.google.com",
"description":"Search the world's information, including webpages, images, videos and more. Google has many special features to help you find exactly what you're looking for.",
"media":[
{
"type":"image",
"src":"http:\/\/www.google.com\/intl\/en_ALL\/images\/srpr\/logo1w.png"
},
{
"type":"image",
"src":"http:\/\/www.google.com\/images\/google_favicon_128.png"
}
]
}