The role of autophagy in cancer metastasis seems to be complex. During early stages autophagy can play an inhibitory effect on metastasis. However, during advanced stages, autophagy acts as metastatasis promoter.
A recent review (Su et al, 2015) summarizes some of these aspects (see link). I am working in hepatocellular carcinoma, but my experience analyzing the relationship between autophagy and metastasis is limited.
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4343053/pdf/12943_2015_Article_321.pdf