The phrase "little fishing" refers to a small-scale or less significant attempt to gain information or achieve a goal. It suggests a subtle or discreet approach, often used to gather insight or progress towards a larger objective. Full definition
Mix these oily little fish in with kibble to promote a healthy coat. (mnn.com)
If a client is looking for a new job or business partnership, I might see them fishing, with lots of little fish swimming by their line. (mindbodygreen.com)