I have installed Gentoo for testing but I cannot get it to boot up under disabled Secure boot and UEFI on this Toshiba C55-5126 consistently.
Have been able to do it twice and both times it displayed a wait rotating circle of bars before it came up at other times I do not get this. Any suggestions here?

Also how do I go about initiating the installation. I see no window/notification or messages indicating how to start this as with other systems. Help needed here too?
I get a 1) Gentoo playland, 2)Advanced, and 3)one other option as it started but when following them they donot seem to be headed for installation.

Confused. You have installed Gentoo? But you ask how to initiate the installation? How did you install it then?

Sorry, I am working with multiple systems and my verbage seems to have tried to combine them. Actually have NOT installed Gentoo on flash drive but have USED Gentoo from the live cd just twice. Did I make myself clear(er?).
The prime problem is how to install it (on flash drive).

Gentoo is not a regular distro. It has no install. You boot any Linux CD/DVD and you use the tools on that CD to download and unpack stage tarball. Gentoo is just a set of tools to build your own Linux. Have a closer look.

Emerson posted a link to some instructions that one might use for a typical install. When loading to a usb drive you may have to be very careful about the loader location and of course the location of data. Remove internal drive power if you need to secure that.

This link is for a pre-made vm and you could consider it if you have a fast enough flash drive. http://www.osboxes.org/gentoo/

@Emerson: When I prowled thru the last booting up of Gentoo I found several items like time, login name, intall (?) drive, and the like which were strongly suggestive of prolog to installation. What you are saying I presume is true tho so will have to do more searching to see if I can resolve this discontinuity.

There was a Gentoo installer CD (or was it DVD) in 2008. It was buggy and never gained any popularity. People who know Gentoo didn't care about it and it confused the hell out of newcomers. In addition it sometimes nuked partition tables as an added bonus.
Before and after 2008 it is the same - you want to see Gentoo installer? Look into a mirror.

Planning to install on a flash drive partitioned for UEFI. Think that was why I couldn't get it to work

Have no clue what that means. You can install Gentoo on a flash drive partitioned for UEFI. Not the smartest thing to do, but you can.

The sequence was couldn't get BSDs to install initially so built install on FDs on MBR/CSM fat16 flash drive.
Couldn't figure how to create a UEFI compat flash drive but now think I can do with Gdisk.