As a rough guideline, administrators usually require editors to have made between 1,000 and 1,500 useful non-botlike edits or a large amount of justified renaming requests at the Commons before they will consider granting the filemover right.
Hi! I'm a regular editor of Wikimedia projects since 2008. I'm an administrator on Hungarian Wikipedia and in recent months I became very active on Commons too. Now I have more than 20000 edits here. I have already made many file requests and I'm planning to upload some Flickr sets to Commons and I think this will require a lot of renamings, but I would also be interested in other user's move requests. Thank you. Einstein2 (talk) 19:40, 20 September 2014 (UTC)