Thank you for your inquiry. From what we gather from the question, you were asking about the risk of acquiring HIV through a small cut on your finger from a phone handed to you by a person who may have been bleeding. From the information given, this scenario is determined to be No Risk (transmission of HIV is not possible in the given scenario).
The scenario mentioned above does not meet the three components of the transmission equation. Blood that may have been on the phone when it was handed to you would not have any active HIV virus as the virus is rendered inactive with exposure to oxygen (1).
Recommendation: No need for HIV test with the scenario provided, refer to a healthcare professional for other health related questions.
AIDS Vancouver Helpline/Online, Marie
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1) Survival of HIV in the Environment