use is the common form. It sounds a little unnatural to say eg Can I make use of your phone? make use of sometimes suggests, in my opinion, that you are using something way that is not its primary purpose.
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Cliveuse is the common form. It sounds a little unnatural to sayeg Can I make use of your phone?One of the dictionaries I have (English-Japanse) has this example. Do you think it sounds a bit unnatural?