Would just liposuction of the arms give me skinny arms? (Photo)

In my opinion you have excess skin of the arms and lipo alone will not give your arms a skinny look.  You might want to consider an arm lift. Be sure to discuss your goals and concerns with your board certified plastic surgeon and consider the pros and the cons. Be certain your surgeon is properly certified.  I've attached a link where you can start your search. Without an exam, it will not be possible to fully evaluate you and give you recommendations. 

Hello and thank you for your question.  The
best advice you can receive is from an in-person consultation.  Based on
your photographs, you will be a better candidate for an arm lift after some additional weight loss.  This will give you a better result than liposuction alone.   Make sure you specifically look
at before and after pictures of real patients who have had this surgery
performed by your surgeon and evaluate their results.   The most
important aspect is to find a surgeon you are comfortable with. I recommend
that you seek consultation with a qualified board-certified plastic surgeon who
can evaluate you in person.
Best wishes and good luck.
Richard G. Reish, M.D.  FACS
Harvard-trained plastic surgeon

Dear Ateke,
Looking at your photo, I would recommend a liposuction procedure first... followed by a skin excision (brachioplasty) 3-6 months later.  Just liposuction will leave you with a lot of loose skin, and an arm lift by itself won't be able to remove enough tissue adequately.  Hope this helps and good luck!