Invisible temp files still accessible on OSX


I had a look but couldn’t see if this topic has been discussed already, so apologies in advance if so.

I have images on my 16Gb Cruzer Blade in the SecureAccess Vault, all seems to work fine, I haven’t made any copies, but when I’ve finished viewing and ejected and removed the memory stick, both Photoshop and the Finder can access the viewed images via “Recent Items”, however I cannot seem to get direct access to the ‘temp’ files to bin them, I’ve cleared both ‘Recent Items’ lists but I am concerned that  they may be somewhere still accessible.

Thanks in advance.