The legality on this is suppose to change on november 1st where it basicaly becomes legal to do anything with your firearm that's not illegal, my suggestion is to point it away from where prying eyes may see you because if they do see you and your muzzle you could get nailed for felony pointing of a firearm.
From the final version of sb1733 found at http://newlsb.lsb.state.ok.us/BillInfo.aspx?Bill=sb1733
Underlined is the new legislation that takes effect nov. 1
Section 1289.6.
CONDITIONS UNDER WHICH FIREARMS MAY BE CARRIED
A. A person shall be permitted to carry loaded and unloaded shotguns, rifles and pistols, open and not concealed and without a handgun license as authorized by the Oklahoma Self-Defense Act, Sections 1 through 25 of this act, pursuant to the following conditions:
1. When hunting animals or fowl;
2. During competition in or practicing in a safety or hunter safety class, target shooting, skeet, trap or other recognized sporting events;
3. During participation in or in preparation for a military function of the state military forces to be defined as the Oklahoma Army or Air National Guard, Federal Military Reserve and active military forces;
4. During participation in or in preparation for a recognized police function of either a municipal, county or state government as functioning police officials;
5. During a practice for or a performance for entertainment purposes; or
6. For lawful self-defense and self-protection or any other legitimate purpose in or on property that is owned, leased, rented, or otherwise legally controlled by the person; or
7. For any legitimate purpose not in violation of the Oklahoma Firearms Act of 1971, Sections 1289.1 through 1289.17 of this title or any legislative enactment regarding the use, ownership and control of firearms.
B. A person shall be permitted to carry unloaded shotguns, rifles and pistols, open and not concealed and without a handgun license as authorized by the Oklahoma Self-Defense Act pursuant to the following conditions:
1. When going to or from the person's private residence or vehicle or a vehicle in which the person is riding as a passenger to a place designated or authorized for firearms repairs or reconditioning, or for firearms trade, sale, or barter, or gunsmith, or hunting animals or fowl, or hunter safety course, or target shooting, or skeet or trap shooting or any recognized firearms activity or event and while in such places; or
2. For any legitimate purpose not in violation of the Oklahoma Firearms Act of 1971, Sections 1289.1 through 1289.17 of this title.
C. The provisions of this section shall not be construed to prohibit educational or recreational activities, exhibitions, displays or shows involving the use or display of rifles, shotguns or pistols or other weapons if the activity is approved by the property owner and sponsor of the activity.