Lynne must be on the coast, perhaps on a pier. Yes, there may be an amusement arcade in her local town but surely even Lynne wouldn't wear that outfit for a trip into town. She must be on holiday. This is either a new weekend away or the same one when she's gone to meet a friend. It's more likely that she has been sent in there to amuse (hence the name of the establishment) herself while George takes a good half hour at the Lifeboat museum.
The issue here is where Lynne would put her change if she was not out of it. That outfit does not look like it has pockets so she would have to carry around a pile of 10ps. The likely explanation is that before her and George parted ways, he gave her a crisp £1 note to go and spend. She changed it with the proprieter and then stacked up the money on the top of the pinball ready to play. Pocket crisis averted.
On first glance, we may think that Lynne is only playing the pinball machine on the back of recently seeing, or hearing, Tommy. With the album being released in 1969, it most probably the film that Lynne has recently seen, perhaps on video as the film was released in 1975. She has it fresh in her mind and wanted to play pinball to see if she was, like the deaf, dumb and blind kid, a pinball wizard and then she could say the phrase, thus proving to the people in the vicinity that she was both into popular music and film and good at recreational activities. However she has drawn up quite a crowd and these men are desperate for her to play again to see if she can beat the high score. She's that good, thus implying that she has been playing for a while now. It now seems it was the initial album that introduced her to pinball machines and she has quite the knack. Perversely, Lynne is not really a big Who fan and shunned the next offering of Who's Next. She prefers soul music.