Not sure I know what is a Chef's Salad (?). We make elaborate green salads, though.
One we do sometimes is a wedge salad. Quarter a head of iceberg lettuce and liberally add fried bacon (bacon bits only if you are DESPERATE!). Croutons if you choose and home-made bleu cheese dressing (recipe follows).
A variation (from Jake's Crawfish in Portland, OR) is to use a wedge, sprinkle with bleu cheese crumbles and candied walnuts and a raspberry vinaigrette.
Our "chef's salad" starts out with iceberg lettuce and a mix of other greens (your choice=I will sometimes harvest wild dandelion leaves or some edible wildflowers). I may use a salad mix if there are time constraints. Otherwise, cukes, carrots (grated or sliced), maybe some fresh basil, fresh mushrooms, maybe radishes, tomato (of course). For crunch, I may make my own croutons (herbs, stale sourdough and a touch of olive oil), use candied cashews, sunflower seeds, etc. Add a little meat (fried bacon, pepperoni, salami) and a little fresh cheese grated over the top. Serve with choice of dressings.
Home made bleu cheese dressing:
Take 1 pint of sour cream, 1 package of crumbled bleu cheese, 1/2 tsp fresh basil, 1/2 tsp of minced garlic, 1/2 tsp ground fennel seeds and 1/2 tsp ground caraway seeds. Best if you toast seeds before grinding. Mash about 1/4 of the bleu cheese into a paste. Blend all together, preferably 24 hours before use. Thin with milk. Good with salad or wings, if thinned. If you make it thicker, good with veggies or chips as a dip.