(set phrase) Used as a filled pause to indicating thinking or pondering, not inviting hearer to participate.
Now, let me see. When did you want the appointment?
Let me see. What should I make for dinner tonight?
Used when pondering the results of an action one is doing, or to politely ask for permission to do something
Let me see if I can find that book for you.
Let me see if this microphone works.
(by extension) Used to indicate incredulity; wait a minute; hold on
Let me see if I understood you correctly.
Let me see if I have this straight.
Used other than figuratively or idiomatically: see let, me, see.
Source: en.wiktionary.orgBe not swept off your feet by the vividness of the impression, but say, 'Impression, wait for me a little. Let me see what you are and what you represent. Let me try you.' Epictetus
The world is not yet exhaused let me see something tomorrow which I never saw before. Samuel Johnson
Let me look at the foulness and ugliness of my body. Let me see myself as an ulcerous sore running with every horrible and disgusting poison. Ignatius of Loyola
The king can drink the best of wine - So can I; And has enough when he would dine - So have I; And can not order rain or shine - Nor can I. Then where's the difference - let me see - Betwixt my lord the king and me? Charles Mackay
It is hard to forgive, and to look at those eyes, and feel those wasted hands,' he answered. 'Kiss me again; and don't let me see your eyes! I forgive what you have done to me. I love my murderer-but yours! How can I? Emily Brontë
I saw the whole world from your eyes, at least the glimpse you let me see. And what a glimpse you let me see. William Fitzsimmons